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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Axiomatic shape theory


Author: Philip Bacon
Journal: Proc. Amer. Math. Soc. 53 (1975), 489-496
MSC: Primary 55D99
DOI: https://doi.org/10.1090/S0002-9939-1975-0420611-2
MathSciNet review: 0420611
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Abstract: The notion of shape theory is so defined that, if $ {\text{H}}$ is a category and $ {\text{W}}$ is a subcategory of $ {\text{H}}$, all shape theories on $ ({\text{H,}}\;{\text{W}})$ are isomorphic and, under a mild condition, a shape theory on $ ({\text{H,}}\;{\text{W}})$ always exists. Additional theorems facilitate the comparison of shape theories constructed by various means.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0420611-2
Article copyright: © Copyright 1975 American Mathematical Society